Continuation of unitary derived functor modules out of the canonical chamber

DOI10.24033/msmf.302zbMath0582.22013OpenAlexW2279307055MaRDI QIDQ3705642

Joseph A. Wolf, Thomas J. Enright

Publication date: 1984

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1984_2_15__139_0

zbMATH Keywords

analytic continuationgeneralized Verma modulesdiscrete series representationscomputer programsunitarizabilityderived functor modules\({\mathfrak g}\)-modulesreal semi-simple group

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Software, source code, etc. for problems pertaining to topological groups (22-04)

Related Items (6)

On Reducibility Criterions for Scalar Generalized Verma Modules Associated to Maximal Parabolic Subalgebras ⋮ Decompositions in categories of highest weight modules ⋮ On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras ⋮ Reducibility of generalized Verma modules for Hermitian symmetric pairs ⋮ Unnamed Item ⋮ Unitary derived functor modules with small spectrum

Cites Work

• Unnamed Item
• Unnamed Item
• Unitary derived functor modules with small spectrum
• Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Classes of unitarizable derived functor modules
• The Analytic Continuation of the Discrete Series.I

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